(564.425-548.463)+(40.400-32.84)a=(34.340-23.7)b

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Solution for (564.425-548.463)+(40.400-32.84)a=(34.340-23.7)b equation: 


Simplifying
(564.425 + -548.463) + (40.400 + -32.84) * a = (34.340 + -23.7) * b

Combine like terms: 564.425 + -548.463 = 15.962
(15.962) + (40.400 + -32.84) * a = (34.340 + -23.7) * b
15.962 + (40.400 + -32.84) * a = (34.340 + -23.7) * b

Combine like terms: 40.400 + -32.84 = 7.56
15.962 + (7.56) * a = (34.340 + -23.7) * b

Combine like terms: 34.340 + -23.7 = 10.64
15.962 + 7.56a = (10.64) * b

Solving
15.962 + 7.56a = 10.64b

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-15.962' to each side of the equation.
15.962 + -15.962 + 7.56a = -15.962 + 10.64b

Combine like terms: 15.962 + -15.962 = 0.000
0.000 + 7.56a = -15.962 + 10.64b
7.56a = -15.962 + 10.64b

Divide each side by '7.56'.
a = -2.111375661 + 1.407407407b

Simplifying
a = -2.111375661 + 1.407407407b

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